What is 4/pi 10^{-2} ?

The solution to 4/pi 10^{-2} is 1/(25pi)

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simplify 4/pi 10^{-2}

simplify

\frac{4}{π} 1 0^{- 2}

\frac{1}{25 π}

Decimal Notation

0.01273 \dots

Solution steps

\frac{4}{π} \cdot 1 0^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{4}{π} \cdot \frac{1}{1 0 ^{2}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 1}{π 1 0 ^{2}}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4}{1 0 ^{2} π}

Factor

4 : 2^{2}

Factor

1 0^{2} : 2^{2} \cdot 5^{2}

= \frac{2 ^{2}}{2 ^{2} \cdot 5 ^{2} π}

Cancel the common factor:

2^{2}

= \frac{1}{5 ^{2} π}

5^{2} = 25

= \frac{1}{25 π}

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(\frac{1}{3} e^{- 2})^{- 4}

(2 x^{3} y) (3 x^{4} y^{3})